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Byju's Answer
Standard XII
Mathematics
Existence of Limit
The value of ...
Question
The value of
lim
x
→
∞
(
x
2
−
2
x
+
1
x
2
−
4
x
+
2
)
x
is
A
e
2
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B
e
−
2
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C
e
6
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D
None of these
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Solution
The correct option is
A
e
2
lim
x
→
∞
(
x
2
−
2
x
+
1
x
2
−
4
x
+
2
)
x
=
lim
x
→
∞
(
1
+
2
x
x
2
−
4
x
+
2
)
x
=
e
lim
x
→
∞
⎛
⎝
x
(
2
x
)
x
2
−
4
x
+
2
⎞
⎠
=
e
2
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